%0 Unpublished work %T The survival probability of a weakly subcritical multitype branching process in iid random environment %+ Institut Denis Poisson (IDP) %A Peigné, M %A Pham, C %8 2023-01-15 %D 2023 %Z 2301.06932 %K multitype branching process %K survival probability %K random environment %K product of random matrices %K weakly subcritical case %Z AMS 60J80, 60F17, 60K37 %Z Mathematics [math]/Probability [math.PR]Preprints, Working Papers, ... %X We study the asymptotic behavior of the probability of non extinction of a weakly subcritical multitype branching process in iid random environments. Under suitable assumptions, the survival probability is of order of $\rho^n n ^{-3/2}$ for some $\rho \in (0, 1)$ to specify. %G English %2 https://hal.utc.fr/hal-03939557v3/document %2 https://hal.utc.fr/hal-03939557v3/file/BP-souscritiqueV7.pdf %L hal-03939557 %U https://hal.utc.fr/hal-03939557 %~ UNIV-TOURS %~ CNRS %~ UNIV-COMPIEGNE %~ UNIV-ORLEANS %~ INSMI %~ IDP %~ ALLIANCE-SU %~ TEST3-HALCNRS